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THE CONSCIOUSNESS ATLAS
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ConsciousnessLearn · Explore · Joseph Anady

Memory family: additive trace accumulation

The update stores an increment equal to 0.02 times the sum of normalized input and utility. Repeated updates accumulate their history in a single scalar, so different histories with the same accumulated sum are indistinguishable. No forgetting factor appears in this…

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gh-eq-3bb32053fc4114d4documented-equation
f13(x)=x+0.02⋅(dxnorm+utility)f₁₃(x) = x + 0.02 · (dx_norm + utility)

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The update stores an increment equal to 0.02 times the sum of normalized input and utility. Repeated updates accumulate their history in a single scalar, so different histories with the same accumulated sum are indistinguishable. No forgetting factor appears in this individual rule.

Terms & definitions

TermMeaning in this source
x

Accumulated trace

dx_norm

Input contribution

utility

Utility contribution

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## 3.14 Family 13: Memory Trace (Zecher)

```
f₁₃(x) = x + 0.02 · (dx_norm + utility)
```

**Equation Type**: Trace accumulation: x'_i = Σ f_i : dΩ

**Explanation**: Slowly accumulates both change and utility signals, creating persistent memory traces. Named "Zecher" (Hebrew for "memory").

## 3.15 Family 14: Decisive Action / Policy

```
f₁₄(x) = x + 0.15 · softsign(utility) - 0.05 · ed_error
```

**Equation Type**: Policy gradient: π(a|s)

**Explanation**: Generates action outputs by amplifying utility signals and suppressing errors. The larger positive coefficient on utility makes this an action-oriented family.

## 3.16 Family 15: Global Coherence (Kehillah)

```
f₁₅(x) = x + (φ - 1) · 0.01 · (stability - x)
Exact original notation
f₁₃(x) = x + 0.02 · (dx_norm + utility)

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